On Bifurcations of Power Systems at Singularities

Author

Marszalek, Wieslaw ; Trzaska, Zdzislaw W.

Author_Institution

DeVry Univ., Brunswick

fYear

2007

fDate

9-13 July 2007

Firstpage

5899

Lastpage

5904

Abstract

We investigate an important relationship that exists between the Hopf bifurcation in the singularly perturbed nonlinear power systems and the singularity induced bifurcations (SIBs) in the respective differential-algebraic equations (DAEs) model. In a generic case, the SIB phenomenon in a system of DAEs signals Hopf bifurcation in the singularly perturbed systems of ODEs. The analysis is based on the linear matrix pencil theory and polynomials with parameter dependent coefficients. Several numerical examples are included.

Keywords

bifurcation; differential algebraic equations; matrix algebra; nonlinear systems; polynomials; power systems; Hopf bifurcation; differential-algebraic equations; linear matrix pencil theory; polynomials; singularity induced bifurcation; singularly perturbed nonlinear power systems; Bifurcation; Eigenvalues and eigenfunctions; Polynomials; Power system analysis computing; Power system control; Power system dynamics; Power system modeling; Power system stability; Power systems; Sufficient conditions; DAEs; Power systems; bifurcations; matrix pencils; singularly perturbed systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2007. ACC '07

Conference_Location

New York, NY

ISSN

0743-1619

Print_ISBN

1-4244-0988-8

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2007.4282289

Filename

4282289